Spaces of positive scalar curvature metrics on totally nonspin manifolds
Abstract: In recent years, it has been shown that the space of psc-metrics on a closed spin manifold is topologically highly nontrivial, meaning that it is often disconnected and has infinitely many nontrivial homotopy groups. On the other hand, rather little is known in the totally nonspin case, i.e. if the universal cover of the underlying manifold is nonspin. In this talk I will explain an approach to this case and I will show that the space of psc-metrics behaves quite differently, compared to the spin case.